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5791300006144 = 281504072
BaseRepresentation
bin101010001000110010001…
…1000010011000100000000
3202111122100122200101110011
41110101210120103010000
51224341040300144034
620152253025514304
71135256545556452
oct124214430230400
922448318611404
105791300006144
111933092969094
127964867a2994
1333016a791183
1416042c4ac2d2
15a09a1d47864
hex54464613100

5791300006144 has 27 divisors (see below), whose sum is σ = 11560054605127. Its totient is φ = 2895630750976.

The previous prime is 5791300006109. The next prime is 5791300006147. The reversal of 5791300006144 is 4416000031975.

The square root of 5791300006144 is 2406512.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×57913000061442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5791300006097 and 5791300006106.

It is not an unprimeable number, because it can be changed into a prime (5791300006147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38428989 + ... + 38579395.

Almost surely, 25791300006144 is an apocalyptic number.

5791300006144 is the 2406512-nd square number.

It is an amenable number.

5791300006144 is a deficient number, since it is larger than the sum of its proper divisors (5768754598983).

5791300006144 is an frugal number, since it uses more digits than its factorization.

5791300006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300830 (or 150409 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 5791300006144 in words is "five trillion, seven hundred ninety-one billion, three hundred million, six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 150407 300814 601628 1203256 2406512 4813024 9626048 19252096 38504192 22622265649 45244531298 90489062596 180978125192 361956250384 723912500768 1447825001536 2895650003072 5791300006144